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Finding the Third Proportional to 145,473.50 and 225,777

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Solution

The third proportional to 145,473.50 and 225,777 is: 350,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,473.50 : 225,777 = 225,777 : x
  2. Step 2: Convert to fraction form
    145,473.50/225,777 = 225,777/x
  3. Step 3: Cross multiply
    145,473.50x = 225,777 × 225,777
  4. Step 4: Simplify right side
    145,473.50x = 50,975,253,729
  5. Step 5: Solve for x
    x = 50,975,253,729/145,473.50
  6. Step 6: Final answer
    x = 350,409.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.